Commutative Algebra

Authors and titles for recent submissions

• Tue, 30 Jun 2026
• Mon, 29 Jun 2026
• Fri, 26 Jun 2026
• Thu, 25 Jun 2026
• Wed, 24 Jun 2026

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Tue, 30 Jun 2026 (showing 11 of 11 entries )

[1] arXiv:2606.30600 [pdf, other]

Title: Hankel and Multiplication Tensor Completions for Cactus Rank

Alessandra Bernardi, Joachim Jelisiejew, Oriol Reig Fité

Subjects: Commutative Algebra (math.AC)

[2] arXiv:2606.30416 [pdf, html, other]

Title: Perfect closure detects injective dimension

Mohsen Asgharzadeh

Subjects: Commutative Algebra (math.AC)

[3] arXiv:2606.30086 [pdf, html, other]

Title: Surjective Stability of Dickson-Siegel-Eichler-Roy Elementary Orthogonal Group

Ambily Ambattu Asokan, Adriraj Talukdar

Comments: 9 pages

Subjects: Commutative Algebra (math.AC)

[4] arXiv:2606.29817 [pdf, html, other]

Title: Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups

Tabinda Rasheed, Wang Yao

Comments: 26 pages

Subjects: Commutative Algebra (math.AC)

[5] arXiv:2606.29125 [pdf, html, other]

Title: Transcendental Epsilon Multiplicity via Divisor Volumes

Sudipta Das, Stephen Landsittel, Vinh Anh Pham

Comments: 33 pages

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[6] arXiv:2606.28976 [pdf, html, other]

Title: Powers of matrices with all principal minors equal to 1

Darij Grinberg

Comments: 15 pages. Most ideas and most writing by GPT-5.5; fully proofread and edited by myself. Follow-up to arXiv:2204.07885 (which will be updated in a few days to include back-reference). Comments are welcome!

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[7] arXiv:2606.28420 [pdf, html, other]

Title: A note on strong affine semigroups

I. García-Marco, R. Tapia-Ramos, A. Vigneron-Tenorio

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO); Group Theory (math.GR)

[8] arXiv:2606.30386 (cross-list from math.AG) [pdf, html, other]

Title: A One-Variable Frame Construction For Irrational Components of Hilbert Schemes of Points

Ruoyu Wu

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[9] arXiv:2606.30160 (cross-list from math.AG) [pdf, html, other]

Title: On Property $N_p$ of line bundles on smooth projective toric varieties

Lei Song, Huanqi Wen

Comments: 20 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC); Combinatorics (math.CO)

[10] arXiv:2606.29642 (cross-list from math.LO) [pdf, other]

Title: Definable Eventual Equalizers

Julian Ziegler Hunts

Comments: 46 pages, 3 figures

Subjects: Logic (math.LO); Commutative Algebra (math.AC); Classical Analysis and ODEs (math.CA)

[11] arXiv:2606.28610 (cross-list from math.CO) [pdf, html, other]

Title: Chordality, syzygies, and shellability for hypergraphic analogues of interval graphs

Anton Dochtermann, Bennet Goeckner, Marta Pavelka

Comments: 20 pages, 1 figure

Subjects: Combinatorics (math.CO); Commutative Algebra (math.AC)

Mon, 29 Jun 2026 (showing 1 of 1 entries )

[12] arXiv:2606.27851 (cross-list from math.AG) [pdf, html, other]

Title: Varieties with Ulrich exterior powers of the tangent bundle

Yuta Takahashi, Kiwamu Watanabe

Comments: 19 pages

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

Fri, 26 Jun 2026 (showing 4 of 4 entries )

[13] arXiv:2606.27024 [pdf, html, other]

Title: Cohen, Levitzki, Hilbert Basis, and Lasker-Noether Theorems for Nil-S-Noetherian Rings

Aman Pandey, Ajim Uddin Ansari, Tushar Singh

Comments: 12

Subjects: Commutative Algebra (math.AC)

[14] arXiv:2606.26867 [pdf, html, other]

Title: The Second Vanishing Theorem in Ramified Mixed Characteristic

Alex Scheffelin

Comments: Comments welcome!

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[15] arXiv:2606.26689 [pdf, html, other]

Title: An algebraic study of ideals of weak graph homomorphisms

Francesco Navarra, Ayesha Asloob Qureshi, Seyed Amin Seyed Fakhari

Subjects: Commutative Algebra (math.AC); Combinatorics (math.CO)

[16] arXiv:2606.26890 (cross-list from math.AG) [pdf, html, other]

Title: Generalized Zariski cancellation for Brieskorn--Pham varieties

Buddhadev Hajra, Mohit Upmanyu

Comments: 12 pages. Comments are welcome

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

Thu, 25 Jun 2026 (showing 5 of 5 entries )

[17] arXiv:2606.25384 [pdf, html, other]

Title: Polynomial Extensions of Non-Noetherian Cohen--Macaulay Rings and Torsion-Free Localization

Ryoya Ando

Subjects: Commutative Algebra (math.AC)

[18] arXiv:2606.25227 [pdf, html, other]

Title: On near atomicity and a characterization of the FF property

Jonathan Du, Felix Gotti, Leo Hong

Comments: 15 pages

Subjects: Commutative Algebra (math.AC)

[19] arXiv:2606.25851 (cross-list from math.RT) [pdf, html, other]

Title: Effective Computation of Mutation Paths and Generators of Cluster Automorphism Groups

Jindong Zhao, Haiyan Zhu

Subjects: Representation Theory (math.RT); Commutative Algebra (math.AC)

[20] arXiv:2606.25060 (cross-list from math.AG) [pdf, other]

Title: Weddle schemes

Luca Chiantini, Łucja Farnik, Giuseppe Favacchio, Brian Harbourne, Juan Migliore, Tomasz Szemberg, Justyna Szpond

Comments: With an Appendix by Giorgio Ottaviani

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)

[21] arXiv:2606.24988 (cross-list from math.NT) [pdf, html, other]

Title: Nonsimilar half-neighbors over fields of characteristic 2

Detlev W. Hoffmann, Magnus Wiedeking

Comments: 13 pages

Subjects: Number Theory (math.NT); Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

Wed, 24 Jun 2026 (showing 2 of 2 entries )

[22] arXiv:2606.24822 (cross-list from math.CO) [pdf, html, other]

Title: Graded Betti numbers of generalized split--join graphs and applications

Bilal Ahmad Rather

Comments: 27 pages, 4 Figures

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Commutative Algebra (math.AC)

[23] arXiv:2606.23814 (cross-list from math.AG) [pdf, other]

Title: Polynomials of minimal border rank

Cosimo Flavi, Weronika Obcowska, Tim Seynnaeve

Comments: 17 pages, 1 table; comments welcome

Subjects: Algebraic Geometry (math.AG); Commutative Algebra (math.AC)